Improve open source project readiness

Add math formula consistency checker

Semantic Scholar backend, JSON output, image checker, batch mode

arXiv Code of Conduct checkers: artifacts, figures, references

Resolve \input{}/\include{} and discover inline bibliographies

Add ClaimsChecker: LLM claim verification against Scholar abstracts

Extract bib titles and authors via bibtexparser

Exclude inline \begin{thebibliography} from parsed body

Scaffold Google Scholar retrieval

Fan out LLM calls in grammar and reviewer checkers

Add reviewer checker for section-level critique

Add deterministic citation checker

Skip prose-less paragraphs and fail fast on LLM timeouts

Initial scaffold: grammar checker MVP